6. [Maximum mark: 7]

Given that 2

θπ≤ ≤ π and that 12cos

13θ = − , find

(a) sinθ ; [3 marks]

(b) cos 2θ ; [3 marks]

(c) sin ( )θ + π . [1 mark] 7. [Maximum mark: 6] (a) Given that 22sin sin 1 0θ θ+ − = , find the two values for sinθ . [4 marks] (b) Given that 0 360θ≤ ≤! ! and that one solution for θ is 30! , find the other

two possible values for θ . [2 marks] 26. [Maximum mark: 10]

The diagram below shows part of the graph of sin 2y x= . The shaded region is between 0x = and x m= .

(a) Write down the period of this function. [2 marks]

(b) Hence or otherwise write down the value of m. [2 marks]

(c) Find the area of the shaded region. [6 marks]